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Pré-Publication, Document De Travail Année : 2018

Bang-Bang growth rate optimization in a coupled McKendrick model

Résumé

We study the optimization of the growth rate (a maximal eigen-value) of a partially clonal population, which density follows a coupled system of McKendrick-VonFoerster equations of evolution (extend of the model given in [1]), with respect to probabilities of switching from sexual (resp. asexual) to asexual (resp. sexual) way of reproducing at the boundary condition, i.e. the newborn condition. The idea is to apply the result of the variation of the first eigenvalue (Malthusian growth rate) [2, 3] for this problem.
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Dates et versions

hal-02070508 , version 1 (18-03-2019)

Identifiants

  • HAL Id : hal-02070508 , version 1

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Philippe Michel. Bang-Bang growth rate optimization in a coupled McKendrick model. 2018. ⟨hal-02070508⟩
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